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Standard Values

Mark the corr...

Question

Mark the correct choice.
Assertion (A): The value of $s e c^{2} 40 ° - c o t^{2} 50 °$ is 1.
Reason (R): The value of $c o s 60 ° = \frac{1}{2} .$

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Solution

Option B is correct.

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Similar questions

Q. Mark the correct choice.
Assertion (A): If

k + 1 = s e c^{2} θ (1 + s i n θ) (1 - s i n θ)

, then the value of

k

is 1.
Reason (R): If

s i n θ + c o s θ = \sqrt 3

, then the value of

t a n θ + c o t θ

Q. Mark the correct choice.
Assertion (A): The value of sin⁡θ cos (90°− θ) + cos⁡θ sin⁡ (90°− θ) is equal to 1.
Reason (R): tan⁡θ = sec⁡ (90° − θ)

Q. Mark the correct choice.
Assertion (A): If sin⁡A =

\frac{\sqrt 3}{2}

, then the value of

2 c o t^{2} A - 1

\frac{- 1}{3} .

Reason (R): If θ be an acute angle and 5 cosec θ = 7, then the value of sin θ +

c o s^{2} θ - 1

Q. Mark the correct choice.
Assertion (A): If tan⁡A = cot⁡B, then the value of (A + B) is 90°.
Reason (R): If sec⁡θ sin⁡θ = 0, then the value of θ is 0.

Q. In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice.

Assertion (A): The value of

sin 30^{\circ}

+

cos 60^{\circ}

is 1.
Reason (R):

s i n^{2} θ

+

c o s^{2} θ = 1

(A) Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).
(B) Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).
(C) Assertion (A) is true, but reason (R) is false.
(D) Assertion (A) is false, but reason (R) is true.

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